{
  "id": "1208.6195",
  "version": "v2",
  "published": "2012-08-30T14:58:28.000Z",
  "updated": "2012-10-15T16:27:14.000Z",
  "title": "The growth rate and dimension theory of beta-expansions",
  "authors": [
    "Simon Baker"
  ],
  "journal": "Fund. Math. 219 (2012), 271-285",
  "categories": [
    "math.DS",
    "math.NT"
  ],
  "abstract": "In a recent paper of Feng and Sidorov they show that for $\\beta\\in(1,\\frac{1+\\sqrt{5}}{2})$ the set of $\\beta$-expansions grows exponentially for every $x\\in(0,\\frac{1}{\\beta-1})$. In this paper we study this growth rate further. We also consider the set of $\\beta$-expansions from a dimension theory perspective.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-10-15T16:27:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A45",
      "37C45"
    ],
    "keywords": [
      "growth rate",
      "beta-expansions",
      "dimension theory perspective",
      "expansions grows"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1208.6195B"
    }
  }
}